document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137718>Question 1137718</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 chips.<BR>\n" );
document.write( "​(a) What is the probability that a randomly selected bag contains between 1000 and 1500 chocolate​ chips? <BR>\n" );
document.write( "​(b) What is the probability that a randomly selected bag contains fewer than 1050 chocolate​ chips? <BR>\n" );
document.write( "​(c) What proportion of bags contains more than 1225 chocolate​ chips? <BR>\n" );
document.write( "​(d) What is the percentile rank of a bag that contains 1425 chocolate​ chips?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #755582 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=755582\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "(1000-1252)/129=-1.95<BR>\n" );
document.write( "(1500-1252)/129=+1.92<BR>\n" );
document.write( "That z value range has probability of 0.9470\r<BR>\n" );
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document.write( "fewer than 1050 is a z<(-202/129)=-1.57<BR>\n" );
document.write( "This probability is 0.0582\r<BR>\n" );
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document.write( ">1225 is a z>(27/129) or 0.4168\r<BR>\n" );
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document.write( "1425 is a z value of (173/129) or 1.34<BR>\n" );
document.write( "The probability of less than that is 0.9099 or 91st percentile. </SPAN>\n" );
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